{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is notebook is a reproduction of the Random Walk policy evaluation example of David Silver's class on Reinforcement Learning, lecture 4:\n",
    "\n",
    "http://www0.cs.ucl.ac.uk/staff/d.silver/web/Teaching_files/MC-TD.pdf\n",
    "\n",
    "https://www.youtube.com/watch?v=PnHCvfgC_ZA&list=PL5X3mDkKaJrL42i_jhE4N-p6E2Ol62Ofa&index=4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import random"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The example MDP is a linear chain with 10 steps with equal probality to move right or left.\n",
    "Left exit has 0 reward while right exit has 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "class LinearChainProcess(object):\n",
    "\n",
    "    def __init__(self, chain_length=10, left_reward=0, righ_reward=1,\n",
    "                 verbose=False, rng_seed=None):\n",
    "        self.chain_length = 10\n",
    "        self.left_reward = left_reward\n",
    "        self.righ_reward = righ_reward\n",
    "        self.rng = random.Random(rng_seed)\n",
    "    \n",
    "    def run_episode(self):\n",
    "        position = self.rng.randrange(self.chain_length)\n",
    "        while True:\n",
    "            # flip an unbiased coin\n",
    "            action = 'left' if random.randrange(2) else 'right'\n",
    "            if action == 'left':\n",
    "                new_position = position - 1\n",
    "                if position == 0:\n",
    "                    yield position, new_position, action, self.left_reward\n",
    "                    raise StopIteration  # end of episode\n",
    "                else:\n",
    "                    yield position, new_position, action, 0\n",
    "            else:\n",
    "                new_position = position + 1  # move right\n",
    "                if position == self.chain_length - 1:\n",
    "                    yield position, new_position, action, self.righ_reward\n",
    "                    raise StopIteration  # end of episode\n",
    "                else:\n",
    "                    yield position, new_position, action, 0\n",
    "            position = new_position  # move left\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3 right 0\n",
      "4 right 0\n",
      "5 left 0\n",
      "4 right 0\n",
      "5 left 0\n",
      "4 right 0\n",
      "5 left 0\n",
      "4 left 0\n",
      "3 left 0\n",
      "2 right 0\n",
      "3 right 0\n",
      "4 right 0\n",
      "5 right 0\n",
      "6 right 0\n",
      "7 left 0\n",
      "6 right 0\n",
      "7 left 0\n",
      "6 right 0\n",
      "7 right 0\n",
      "8 right 0\n",
      "9 right 1\n",
      "total gain: 1\n"
     ]
    }
   ],
   "source": [
    "p = LinearChainProcess(rng_seed=None)\n",
    "\n",
    "total_gain = 0\n",
    "for position, new_position, action, reward in p.run_episode():\n",
    "    print(position, action, reward)\n",
    "    total_gain += reward\n",
    "\n",
    "print(\"total gain:\", total_gain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "TRUE_VALUES = np.linspace(0.1, 0.9, 10)  # compute with dynamic programming"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "class BaseEvaluator(object):\n",
    "\n",
    "    def __init__(self, process, alpha=0.1):\n",
    "        self.process = process\n",
    "        self.n_states = process.chain_length\n",
    "        self.alpha = alpha\n",
    "        self.reset_value_function()\n",
    "    \n",
    "    def label(self):\n",
    "        return type(self).__name__ + \" alpha=%f\" % self.alpha\n",
    "    \n",
    "    def rmse(self, true_values=TRUE_VALUES):\n",
    "        return np.sqrt(((true_values - self.v) ** 2).sum())\n",
    "    \n",
    "    def reset_value_function(self):\n",
    "        self.v = np.ones(self.n_states, dtype=np.float64) * 0.5\n",
    "        self.n_episodes = 0\n",
    "    \n",
    "class MonteCarloEvaluator(BaseEvaluator):\n",
    "        \n",
    "    def run(self, n_episodes=1):\n",
    "        for episode in range(n_episodes):\n",
    "            positions, rewards = [], []\n",
    "            for position, _, action, reward in self.process.run_episode():\n",
    "                positions.append(position)\n",
    "                rewards.append(reward)\n",
    "            gains = np.cumsum(rewards[::-1])[::-1]\n",
    "            first_visit_gains = {}\n",
    "            for i, position in enumerate(positions):\n",
    "                first_visit_gains.setdefault(position, gains[i])\n",
    "            for position, gain in first_visit_gains.items():\n",
    "                old_v = self.v[position]\n",
    "                self.v[position] += self.alpha * (gain - old_v)\n",
    "            self.n_episodes += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_evaluator(evaluator, target_episodes):\n",
    "    target_episodes = sorted(target_episodes)\n",
    "    for n_episodes in target_episodes:\n",
    "        if n_episodes > evaluator.n_episodes:\n",
    "            evaluator.run(n_episodes - evaluator.n_episodes)\n",
    "        plt.plot(evaluator.v, label=\"%d episodes\" % evaluator.n_episodes)\n",
    "        yield evaluator.rmse()\n",
    "    plt.legend(loc='best')\n",
    "    plt.title(\"%s, alpha=%f\" % (type(evaluator).__name__, evaluator.alpha))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "convergence = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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N5RYfH1oTsKiEXKFQKJqhpqaAlJRXyEx/D5ufpmK3dQs93hyExxgPi9VRotfzXmYmb6al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\nta60VQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10604a5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mce = MonteCarloEvaluator(p, alpha=0.01)\n",
    "episodes_range = [0, 10, 100, 300, 600, 1000]\n",
    "errors = list(plot_evaluator(mce, episodes_range))\n",
    "convergence.append((mce.label(), errors, '^--'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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m6wlPpdRmYJ6I7DB//xWYKSJ7KsjSR+Q6VaL3A52zpaVszsjgq/R0fsnKop+j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\nBLkQQvRzEuRCCNHP/T/6HI+MkgxKrQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10605f6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mce = MonteCarloEvaluator(p, alpha=0.05)\n",
    "errors = list(plot_evaluator(mce, episodes_range))\n",
    "convergence.append((mce.label(), errors, 'v--'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class TimeDifferenceEvaluator(BaseEvaluator):\n",
    "        \n",
    "    def run(self, n_episodes=1):\n",
    "        for episode in range(n_episodes):\n",
    "            for pos, new_pos, action, reward in self.process.run_episode():\n",
    "                prev_v = self.v[pos]\n",
    "                if new_pos < 0 or new_pos >= self.n_states:\n",
    "                    next_v = 0\n",
    "                else:\n",
    "                    next_v = self.v[new_pos]\n",
    "                td_target = reward + next_v\n",
    "                self.v[pos] += self.alpha * (td_target - prev_v)\n",
    "            self.n_episodes += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PJ57YI3NayDWaYwwRobz8I7KzH6axMYu4uIVERFzb6fCyRqNBydslFCwvoHZP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\nDuQajUbTxvk/lrcNTrQ3MU8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105a5a860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tde = TimeDifferenceEvaluator(p, alpha=0.01)\n",
    "errors = list(plot_evaluator(tde, episodes_range))\n",
    "convergence.append((tde.label(), errors, '^-'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5XqhCMHgwfPYZrF0LTzwB5+qaqSqEkK0OamGotwkTJohSqtTx1ltvWdL/+usv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\neeIBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1059fb630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tde = TimeDifferenceEvaluator(p, alpha=0.05)\n",
    "errors = list(plot_evaluator(tde, episodes_range))\n",
    "convergence.append((tde.label(), errors, 'v-'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SygM6k+VVjSAvX2p5eSEi1ClXjnpVZrB/P3z6aR6OfPmlJc3H5s3gID9OIa5H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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105a91710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for label, errors, style in convergence:\n",
    "    plt.plot(episodes_range, errors, style, label=label)\n",
    "    \n",
    "plt.xlabel('episodes')\n",
    "plt.ylabel('RMSE')\n",
    "plt.title(\"Convergence\")\n",
    "plt.legend(loc='best');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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